Finding the Third Proportional to 8,290 and 10,770

Step by Step Solution

1. Step 1: Write the proportion equation
   8,290 : 10,770 = 10,770 : x
2. Step 2: Convert to fraction form
   8,290/10,770 = 10,770/x
3. Step 3: Cross multiply
   8,290x = 10,770 × 10,770
4. Step 4: Simplify right side
   8,290x = 115,992,900
5. Step 5: Solve for x
   x = 115,992,900/8,290
6. Step 6: Final answer
   x = 13,991.91